LCM of 374, 137, 391, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 137, 391, 227 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 374, 137, 391, 227. So, keep reading to learn more.
Given numbers are 374,137,391,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,137,391,227 is 267513598.
Find LCM of 374,137,391,227 with Prime Factorization
| 17 | 374, 137, 391, 227 |
| 22, 137, 23, 227 |
Multiply the prime numbers at the bottom and the left side.
17 x 22 x 137 x 23 x 227 = 267513598
Therefore, the lowest common multiple of 374,137,391,227 is 267513598.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
374 x 137 x 391 x 227 = 4547731166
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
374 : 1, 2, 11, 17, 22, 34, 187, 374
137 : 1, 137
391 : 1, 17, 23, 391
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,137,391,227, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
137:137
391:17x 23
227:227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 4547731166/(1x17)
LCM = 4547731166/17
LCM = 267513598
Thus, we can understand that the LCM of 374,137,391,227 is 267513598.
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FAQs on LCM of 374, 137, 391, 227
1. What is the LCM of 374, 137, 391, 227?
Answer: LCM of 374, 137, 391, 227 is 267513598.
2. How to calculate the LCM of 374, 137, 391, 227?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 374, 137, 391, 227.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.